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GENERALIZATION STRATEGY OF LINEAR PATTERNS FROM FIELD-DEPENDENT COGNITIVE STYLE Setiawan, Yayan Eryk; Purwanto, Purwanto; Parta, I Nengah; Sisworo, Sisworo
Journal on Mathematics Education Vol 11, No 1 (2020)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.11.1.9134.77-94

Abstract

Linear pattern is the primary material in learning number patterns in junior high schools, but there are still many students who fail to generalize the linear pattern. The students? failure in generalizing the pattern occurred when the students ended to view the problems globally without breaking them into the constructors? components such as the experience of field-dependent type students. For this reason, this study was carried out to explore the thinking process of students who fail and investigate the thinking processes of students who succeed in generalizing linear patterns. The results of this study provide an effective learning strategy solution for field-dependent students in generalizing linear patterns. This study employed a qualitative approach with a case study design to junior high school students. The results indicated that students in the field-dependent cognitive style looked at pattern questions represented in the form of geometric images globally without looking at the structure of the image. Two strategies for generalizing linear patterns used by field-dependent students were examined, namely recursive and different strategies.
STUDENTS’ REVERSIBLE REASONING ON FUNCTION COMPOSITION PROBLEM: REVERSIBLE ON FUNCTION AND SUBSTITUTION Ikram, Muhammad; Purwanto, Purwanto; Parta, I Nengah; Susanto, Hery
International Journal of Insights for Mathematics Teaching (IJOIMT) Vol 1, No 1 (2018)
Publisher : Universitas Negeri Malang

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Abstract

In this paper we report students? reversible reasoning types on function composition problem. Reversible reasoning can be observed according to operation and structural correlation among input, process, and result.  There are seven students participate in doing function composition related to structural correlation in (f?g)(x)=h(x), The researchers assume that there are four types of reversible reasoning in composition problem, namely: (1) reversible on composition; (2) reversible on function; (3) reversible on substitution; (4) reversible on variables. However, there are only two appearing reversible reasoning, they are: reversible on function and reversible on substitution. Each type were selected a subject to be interviewed for 25 minutes and asked to do the Function Composition Task (FCT). Subject with reversible on function type identifies structural correlation among input, source and result as well as involving inverse in input with permissibility (f(y)) to produce basic function (f(x)). Meanwhile, subject with reversible on substitution type, constructs result based on the input, identifies structural similarity and generalizes from the structural similarity to produce basic function.
MATHEMATICAL MEANING IN MODELLING CONTEXT THROUGH THE ONTO-SEMIOTICS APPROACH Umam, Khoerul; Nusantara, Toto; Parta, I Nengah; Hidayanto, Erry
International Journal of Insights for Mathematics Teaching (IJOIMT) Vol 1, No 2 (2018)
Publisher : Universitas Negeri Malang

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Abstract

The main objective of this research will implement the onto-semiotics approach to analyse the conceptual of mathematical meaning in a modelling context corresponding to their use of the mathematical objects. Semiotics functions and mathematical object that emerged when solving mathematical modelling will be highlighted according to OSA. Students responses to modelling questions were used to classify the semiotics function that relates to the different mathematical objects.
IDENTIFIKASI BERPIKIR KRITIS MATEMATIKA SISWA KELAS X IPA-6 SMAK SANTO ALBERTUS MALANG Hidajat, Flavia Aurelia; Parta, I Nengah; Muksar, Makbul
Jurnal Ilmiah Pendidikan Matematika (JIPM) Vol 4, No 2 (2016)
Publisher : IKIP PGRI Madiun

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Abstract

This research is meant to identify the critical thinking of X grade students of Science-class in SMAK Santo Albertus, Malang. Data of this research is collected from students test result related to critical thinking test as well as the result of interview done by the researcher with the teacher and students. Data analysis will be done after the treatment and all data are collected. Data analysis technique used in this research is flow model which includes data reduction, data presentation, conclusion and verification. Identification result of students’ critical thinking of X grade in Science-6 class of SMAK Santo Albertus Malang shows that there are three levels in critical thinking, namely ; students with Thinking level of “Critical”, students with thinking level of “less critical”, and students with thinking level of “Not critical”. The result of this research provides information for teachers related to students’ critical thinking, therefore, this research can give some reflection for the teacher in designing the next Mathematics teaching activities and help teacher in designing standard teaching development which improves students’ critical thinking.  Matematika merupakan mata pelajaran yang sangat memerlukan berpikir kritis dalam proses belajar siswa. Siswa perlu berpikir kritis untuk memikirkan dan memahami masalah dari berbagai sudut pandang. Sehigga berpikir kritis bukan sekedar proses menghafal, melainkan suatu proses yang dapat mengubah pola berpikir seseorang secara kritis dalam menghadapi suatu masalah. Mengingat pentingnya berpikir kritis, maka dalam penelitian akan di identifikasi berpikir kritis  siswa  kelas  X  IPA-6  SMAK  Santo  Albertus  Malang.  Data  dalam penelitian ini adalah hasil pekerjaan siswa terkait tes berpikir kritis serta hasil wawancara peneliti dengan guru dan siswa. Analisis data akan dilakukan setelah pemberian tindakan dan semua data terkumpul. Teknik analisis data dalam penelitian ini adalah model alir (flow model) yang meliputi kegiatan reduksi data, penyajian data, dan penarikan kesimpulan dan verifikasi. Hasil identifikasi berpikir kritis siswa kelas X IPA-6 SMAK Santo Albertus Malang menunjukkan bahwa terdapat tiga tingkatan dalam berpikir kritis, yaitu siswa dengan tingkatan berpikir “kritis”, siswa dengan tingkatan berpikir “kurang kritis”, dan siswa dengan tingkatan berpikir “tidak kritis”. Hasil penelitian ini dapat memberikan informasi kepada guru mengenai berpikir kritis siswa, sehingga penelitian ini dapat menjadi bahan refleksi bagi guru dalam merancang kegiatan pembelajaran matematika selanjutnya  dan membantu guru dalam menetapkan tolak ukur pengembangan pembelajaran yang dapat meningkatkan berpikir kritis siswa. 
PEMAHAMAN KONSEP FUNGSI INVERS SISWA MELALUI PEMBELAJARAN KOOPERATIF TIPE JIGSAW Aulia, Al Aini; Parta, I Nengah; Irawati, Santi
Jurnal Kajian Pembelajaran Matematika Vol 1, No 2 (2017): Jurnal Kajian Pembelajaran Matematika
Publisher : FMIPA UNIVERSITAS NEGERI MALANG

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Abstract

Abstract : Mathematics is a branch of science that play a pivotal role in human life . In the process of learning mathematics, many aspects must be considered so that the goal of learning can be achieved.  Learning paradigm that just makes students memorize many do not understand mathematical concepts. While understanding the concept is a very important factor in the learning of mathematics and basic things that should be owned by the students. Students who have a good understanding of the concepts that will have an impact on its ability to resolve problems and tasks given in the study of mathematics, this is indicated by the learning outcomes in the form of test scores. The success of achieving standards that have been defined. To achieve this, there are various strategies that can be used, one strategy is through cooperative learning of Jigsaw. Jigsaw type of cooperative learning characterized by spesialias assignment (team of experts). The study describes the students' understanding on the concept of inverse function through cooperative learning jigsaw. This research is a classroom action research using a qualitative approach, the instrument used (1) a test sheet, (2) observation sheets teacher activity and student activities, and (3) sheet autorefleksi. Based on the research, test data that 90, 63% of students to retrieve a value of more than or equal to 75 in accordance with the chief engineer, the data of teacher activity observation 98% category very well and observation data of student activity 90% very good category, as well as data auto reflection students feel happy with the model of learning is done. So meet the success criteria of the study.
PENGEMBANGAN LEMBAR KERJA SISWA MATERI PERKALIAN MATRIKS BERCIRIKAN PENEMUAN TERBIMBING UNTUK SISWA SMK KELAS X Fauziah, Kiki; Parta, I Nengah; Rahardjo, Swasono
Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan Vol.1, No.9, September 2016
Publisher : Graduate School of Universitas Negeri Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (414.953 KB) | DOI: 10.17977/jp.v1i9.6735

Abstract

This development research aims to develop students worksheet matrix multiplication-based guided discovery in class X SMK valid, practical, and effective. The development of this student worksheets using the 4-D model of development that consists of four stages, but in the development of the student worksheet is only going to be done until the third stage only. The subject of trials on the research development of this student worksheets are grade X SMK Putra Indonesia Malang. Based on the results of the validation of worksheets students validated by the three validator experts and practitioners, the student worksheet developed meet the category is valid. Based on the results of observation of its student worksheet demonstrates that levels of student worksheet demonstrates reach the high category, so the student worksheet developed meet the practical category. Average rating based on mastery of the whole class learning materials namely 76, guided discovery that include categories and student response against the student worksheet include positive categories, so the student worksheet developed meet the category effectively. Thus the student worksheets multiplication matrix-based discovery of social interactions in class X generated already meet the category is valid, practical, and effective.Penelitian pengembangan ini bertujuan untuk mengembangkan LKS materi perkalian matriks bercirikan penemuan terbimbing di kelas X SMK yang valid, praktis, dan efektif. Pengembangan LKS ini menggunakan model pengembangan 4-D yang terdiri atas empat tahap, tetapi dalam pengembangan LKS ini hanya akan dilakukan sampai tahap ketiga saja. Subjek uji coba pada penelitian pengembangan LKS ini adalah siswa kelas X SMK Putra Indonesia Malang. Berdasarkan hasil validasi LKS yang divalidasi oleh dua orang validator ahli dan satu orang praktisi, LKS yang dikembangkan memenuhi kategori valid. Berdasarkan hasil observasi terlaksananya LKS menunjukkan bahwa tingkat keterlaksanaan LKS mencapai kategori tinggi, sehingga LKS yang dikembangkan memenuhi kategori praktis. Berdasarkan nilai rata-rata penguasaan bahan ajar seluruh kelas yaitu 76, aktivitas penemuan terbimbing yang termasuk kategori baik, dan respon siswa terhadap LKS termasuk kategori positif, sehingga LKS yang dikembangkan memenuhi kategori efektif. Dengan demikian, LKS materi perkalian matriks bercirikan penemuan terbimbing di kelas X yang dihasilkan sudah memenuhi kategori valid, praktis, dan efektif.
PENGEMBANGAN PERANGKAT PEMBELAJARAN BERCIRIKAN KONSTRUKTIVIS TIPE GAGNON DAN COLLAY PADA MATERI PENYAJIAN DATA UNTUK SISWA KELAS VII Rahayu, Rani Puspita; Parta, I Nengah; Rahardjo, Swasono
Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan Vol.1, No.7, Juli 2016
Publisher : Graduate School of Universitas Negeri Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (401.122 KB) | DOI: 10.17977/jp.v1i7.6529

Abstract

The purpose of this study is describe the developed learning devices and produce learning devices based on constructivist by Gagnon and Collay on graphing data for students in class VII criteria valid, practical and effective. This learning device development referred to Plomp development model. The validations result that all devices satisfied valid criteria, learning devices satisfied practical criteria with teacher’s activity classified as good, and learning devices satisfied effective criteria, learning exhaustiveness reached, student’s activity classified as good, and student’s responses were positive. The developed devices satisfy quality criteria, which are valid, practical, and effective.Tujuan penelitian ini adalah mendeskripsikan proses pengembangan perangkat pembelajaran dan menghasilkan perangkat pembelajaran bercirikan konstruktivis tipe Gagnon dan Collay pada materi penyajian data untuk siswa kelas VII dengan kriteria valid, praktis dan efektif. Penelitian pengembangan ini menggunakan model Plomp. Hasil validasi diperoleh perangkat pembelajaran yang valid, perangkat pembelajaran memenuhi kriteria keprakisan yaitu aktivitas guru dalam pembelajaran masuk dalam kategori baik, serta memenuhi kriteria keefektifan, yaitu (1) tercapai ketuntasan klasikal; (2) aktivitas siswa dalam pembelajaran masuk dalam kategori baik; (3) respon siswa positif. Sehingga pengembangan perangkat pembelajaran memenuhi kriteria valid, praktis, dan efektif.
Komunikasi Matematis Siswa Bergaya Belajar Teoritis dalam Menyelesaikan Soal Kesebangunan Rachmawati, Indah; Irawati, Santi; Parta, I Nengah
Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan Vol 3, No 7: JULI 2018
Publisher : Graduate School of Universitas Negeri Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (787.826 KB) | DOI: 10.17977/jptpp.v3i7.11354

Abstract

Abstract: The purpose of this research is to describe the mathematical communication of theoritist student in SMP Negeri 5 Malang in solving similarity problem. Subject of this research is one theoritist students. The indicators of mathematical communication that used in this research are adapted from the NCTM indicator then combined to the four Polyas steps. The results of this research show that the subject’s mathematical communication structure tends to be complete. Furthermore,  the diagram created by the subject is proportional and completed by the length, unit, and label. Then, the words used by the subject in writing the reason of similarity tend to be ambiguous. In addition, the subject has used mathematical symbols formally but there are still some errors. Abstrak: Tujuan penelitian ini adalah mendeskripsikan komunikasi matematis siswa teoritis SMP Negeri 5 Malang dalam menyelesaikan soal kesebangunan. Subjek penelitian ini adalah satu siswa bergaya belajar teoritis. Indikator komunikasi matematis yang digunakan pada penelitian ini diadaptasi dari indikator NCTM kemudian dikombinasikan dengan empat tahapan penyelesaian masalah Polya. Hasil penelitian menunjukkan bahwa struktur komunikasi matematis subjek cenderung lengkap. Gambar yang dibuat oleh subjek proporsional yang dilengkapi dengan panjang, satuan, dan label. Namun, kata-kata yang digunakan oleh subjek dalam menuliskan alasan kesebangunan cenderung ambigu. Selain itu, subjek telah menggunakan simbol matematika secara formal, namun masih terdapat beberapa kesalahan.
DEFRAGMENTASI PENGAKTIFAN SKEMA MAHASISWA UNTUK MEMPERBAIKI TERJADINYA BERPIKIR PSEUDO DALAM MEMECAHKAN MASALAH MATEMATIS Wibawa, Kadek Adi; Nusantara, Toto; Subanji, Subanji; Parta, I Nengah
Prima: Jurnal Pendidikan Matematika PRIMA, Vol. 2 No. 2, July 2018
Publisher : FKIP Universitas Muhammadiyah Tangerang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31000/prima.v2i2.755

Abstract

Berpikir pseudo merupakan salah satu penyebab terjadinya kesalahan mahasiswa dalam memecahkan masalah matematis. Berpikir pseudo dibagi menjadi dua, yaitu berpikir pseudo salah dan berpikir pseudo benar. Dalam penelitian ini dikaji berpikir pseudo salah, yang mana mahasiswa salah dalam memecahkan masalah matematis, namun dapat melakukan perbaikan setelah melakukan berpikir reflektif melalui intervensi terbatas yang diberikan oleh peneliti. Proses perbaikan yang dilakukan oleh mahasiswa diamati melalui proses defragmentasi struktur berpikir yang terjadi. Hasil penelitian ini, mengungkap bahwa terjadi proses pengaktifan skema atau mahaisiswa mengaktifkan skema yang sudah dimiliki sebelumnya untuk memperbaiki kesalahan yang terjadi. Penelitian ini tergolong penelitian kualitatif dengan jenis deskriptif eksploratif. Peneliti menggunakan tiga subjek untuk menggambarkan proses defragmentasi pengaktifan skema yang terjadi. Eksplorasi dilakukan pada saat melakukan studi pendahuluan dan pada saat penelitian.Kata Kunci: Berpikir pseudo-salah, intervensi terbatas, defragmentasi pengaktifan skema, dan memecahkan masalah matematis.
IDENTIFIKASI BERPIKIR KRITIS MATEMATIKA SISWA KELAS X IPA-6 SMAK SANTO ALBERTUS MALANG Hidajat, Flavia Aurelia; Parta, I Nengah; Muksar, Makbul
JIPM (Jurnal Ilmiah Pendidikan Matematika) Vol 4, No 2 (2016)
Publisher : Universitas PGRI Madiun

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (322.58 KB) | DOI: 10.25273/jipm.v4i2.844

Abstract

This research is meant to identify the critical thinking of X grade students of Science-class in SMAK Santo Albertus, Malang. Data of this research is collected from students test result related to critical thinking test as well as the result of interview done by the researcher with the teacher and students. Data analysis will be done after the treatment and all data are collected. Data analysis technique used in this research is flow model which includes data reduction, data presentation, conclusion and verification. Identification result of students’ critical thinking of X grade in Science-6 class of SMAK Santo Albertus Malang shows that there are three levels in critical thinking, namely ; students with Thinking level of “Critical”, students with thinking level of “less critical”, and students with thinking level of “Not critical”. The result of this research provides information for teachers related to students’ critical thinking, therefore, this research can give some reflection for the teacher in designing the next Mathematics teaching activities and help teacher in designing standard teaching development which improves students’ critical thinking.